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A038172 Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice. 1

%I #24 May 02 2023 06:52:43

%S 1,1,5,28,225,2274,24955,286143,3367443,40358811,490598186

%N Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice.

%H S. T. Coffin, <a href="https://www.johnrausch.com/PuzzlingWorld/">Puzzling World of Polyhedral Dissections</a>, Oxford Univ. Press, 1991.

%H G. L. Sicherman, <a href="https://sicherman.net/polyrhons/catalogue.html">Catalogue of Polyrhons</a>

%H T. Sillke, <a href="https://www.math.uni-bielefeld.de/~sillke/PENTA/notar">Notations for polyspheres</a>

%H <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>

%Y Cf. A000162, A038119, A038168-A038174.

%K nonn,hard,more

%O 1,3

%A _Achim Flammenkamp_

%E This extends earlier work of Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM). Added the 10th term.

%E a(11) from _Joerg Arndt_ and _Márk Péter Légrádi_, Apr 30 2023

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Last modified March 28 13:35 EDT 2024. Contains 371254 sequences. (Running on oeis4.)